The average score on a standardized test is 750 points with a standard deviation of 50 points. What is the probability that a student scored more than 850 on the standardized test ?

Answers

Answer 1

The probability that student scored more than 850 we shall proceed as follows:
z=(x-μ)/σ
where:
x=850
μ=750
σ=50
thus
z=(850-750)/50
z=2
thus
P(x>850)=1-P(x<850)=1-P(z<2)=1-0.9772=0.0228

Answer: P(x>850)=0.0228

Answer 2

Answer:

Step-by-step explanation:

Related Questions

A test has forty questions worth 100 points.The test consists of True/False questions worth 3 points each and multiple choice questions worth 2 points each. How many multiple choice questions are on the test?

Answers

20 multiple choice questions

Answer:

20 multiple choice questions

Step-by-step explanation:

I hope this help you out

For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. the 50 paired ratings yield x overbarxequals=6.46.4, y overbaryequals=6.06.0, requals=negative 0.281−0.281, p-valueequals=0.0480.048, and modifyingabove y with caretyequals=8.128.12negative 0.323−0.323x. find the best predicted value of modifyingabove y with carety (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is xequals=55. use a 0.100.10 significance level.

Answers

Final answer:

To find the best predicted value of female attractiveness rating for a male rating of 5, substitute '5' for 'x' in the given regression equation, then calculate the result.

Explanation:

In your given problem you have mentioned a linear regression equation, modifyingabove y with caretyequals=8.128.12negative 0.323−0.323x, that was derived from paired attractiveness ratings of males and females from 50 speed dates. The male attractiveness rating is your independent variable x and the female attractiveness rating is your dependent variable y.

You are asked to calculate the predicted female attractiveness rating if a male rates a female as 5 (x equals 5). To do this, you need to substitute x with 5 in the regression equation, which leads to the following calculation:

modifyingabove y with caret = 8.12 - 0.323 * 5.

By calculating this equation, you get the best predicted value of modifyingabove y with caret (attractiveness rating by female of male).

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For spring break this year your family decided to visit Michigan, but it snows the first weekend you are there. You decide to make a snowman. If the bottom ball is 3 feet across, the middle ball is 2 feet across, and the top is 1 foot across, how much snow is needed to build the whole snowman? Round your answer to the nearest cubic foot.

Answers

V = 4/3 (pi r times ^3) = formula for this knowing that you than

Combine volumes up (1ft times 3.14) + (2ft times 3.14) + (3ft times 3.14)

18.8 >. rounded to the nearest cubic foot of 19

it took a ball 1 minute to roll 90 feet. what was ths balls average rate of speed in feet per second

Answers

1.5 ft per second.

Divide the 90 by 60.

What is the value of y?

11.6 ft
12.5 ft
16.5 ft
17.5 ft

Answers

we know that

in the triangle BCD
cos C=8/14
C=arc cos (8/14)-----> C=55.15°

sin C=BD/14---------> BD=14*sin 55.15------> BD=11.49 ft

in the triangle ABC
180=∡A+∡B+∡C
∡A=180-(90+55.15)-----> ∡A=34.85°

tan A=BD/y-------> y=BD/tan A-----> y=11.49/tan 34.85----> y=16.50 ft

the answer is
y=16.50 ft

To solve the exercise shown in the picture attached, you must apply the following proccedure:

1. First, you must apply the Pythagorean Theorem to calculate the heigth of the triangle, as below:

a^2=b^2+c^2
b=√(a^2-c^2)
b=√(14)^2-(8)^2
b=√132
b=11.48

2. Now, you must calculate the angle ∠BC, as below:

Sin(α)^-1=opposite/hypotenuse
Sin(BC)^-1=8/14
∠BC=34.84°

3. Therefore, the angle ∠BA is:
∠BA=90°-34.84°
∠BA=55.15°

4. Then, you have:

Tan(55.15°)=y/11.48
y=16.48

5-2i and 7+6i find the midpoint

Answers

That would be (5, -2) and (7, 6) on complex plane. You can use midpoint formula

So that would be ((5+7) / 2, (-2+6) / 2) = (6, 2)

So then answer would be 6+2i

Final answer:

The midpoint between the complex numbers 5-2i and 7+6i is 6 + 2i.

Explanation:

To find the midpoint between two complex numbers, we can use the formula:

Midpoint = (Re(z1) + Re(z2))/2 + (Im(z1) + Im(z2))/2i

Applying the formula to the given complex numbers 5-2i and 7+6i, we have:

Midpoint = (5 + 7)/2 + (-2 + 6)/2i
Midpoint = 12/2 + 4/2i
Midpoint = 6 + 2i

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A video posted on the internet is becoming very popular,and the total number of views is increasing by 40% every hour if the video currently has 38,000 views how many views will it have in 2 hours

Answers

Final answer:

The video with an initial 38,000 views will have approximately 74,480 views in 2 hours when it is increasing by 40% every hour.

Explanation:

To calculate the number of views a video will have in 2 hours if it is increasing by 40% every hour, we will use the formula for percentage growth. Initially, the video has 38,000 views. After one hour, the views will be increased by 40%, and after two hours, this new amount will again be increased by 40%. The formula for calculating the number of views after each hour is:

Views after n hours = Initial views × [tex](1 + growth rate)^n[/tex]

Where:

Initial views = 38,000

Growth rate = 40% = 0.40 (as a decimal)

n = number of hours

After 1 hour:

Views after 1 hour = 38,000 × (1 + 0.40)^1

Views after 1 hour = 38,000 × 1.40 = 53,200

After the second hour, we will use the number of views from the first hour to calculate the increase:

Views after 2 hours = 53,200 × [tex](1 + 0.40)^1[/tex]

Views after 2 hours = 53,200 × 1.40 = 74,480

Therefore, the video will have approximately 74,480 views in 2 hours.

Suppose that e and f are events in a sample space and p(e) = 2/3, p(f) = 3/4, and p(f |
e.= 5/8. find p(e | f).

Answers

Using the definition of conditional probability, we have

[tex]\mathbb P(E\mid F)=\dfrac{\mathbb P(E\cap F)}{\mathbb P(F)}=\dfrac{\mathbb P(F\mid E)\cdot\mathbb P(E)}{\mathbb P(F)}[/tex]

so the probability we want is

[tex]\dfrac{\dfrac58\cdot\dfrac23}{\dfrac34}=\dfrac59[/tex]

If a function is always positive, then what must be true about its derivative? (a) the derivative is increasing (b) the derivative is decreasing (c) the derivative is always positive (d) the derivative is never negative (e) you can't conclude anything about the derivative

Answers

Consider the function [tex]f(x)=x^2+1[/tex], which is always positive. The derivative is

[tex]f'(x)=2x[/tex]

which is negative for [tex]x<0[/tex] and positive for [tex]x>0[/tex]. This example alone tells you that you can't generally describe the sign of the derivative of a strictly positive function, so the answer is E.

Final answer:

Though a function is always positive, it doesn't provide specific information about its derivative. The derivative can be positive, negative, or zero, depending on whether the function is increasing, decreasing, or constant. Hence, we can't definitively conclude anything about the derivative if we only know the function is always positive.

Explanation:

If a function is always positive, it means that its graph lies entirely above the x-axis. However, this fact provides no definitive information about the derivative of the function.

The derivative of a function tells us the rate at which the function is changing. It can be positive, negative, or zero, depending on whether the function is increasing, decreasing, or constant, respectively. However, for a function to be always positive, does not necessarily dictate whether it is constantly increasing, decreasing, or constant.

For instance, consider the function y = x2. This function is always positive for x ≥ 0, but its derivative, which is 2x, is not always positive. It is zero when x = 0 and positive for x > 0. Similarly, think of an undulating curve-like sine function which stays above the x-axis. Its derivative oscillates between positive and negative as the function goes through its crest and trough points.

Therefore, the answer to your question is (e) you can't conclude anything about the derivative just because the function is positive.

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The current size of an image on Samuel's computer is shown below: A rectangle is shown. The length of the rectangle is labeled as length equal to 8 inches and the width is labeled as width equal to 10 inches. What are the dimensions of the image at fraction 1 over 2 times its current size

Answers

Length is equal to 4 and width is equal to 5.

You can just divide each by 2.

Answer:

The length and the width of image is 4 inches and 5 inches respectively

Step-by-step explanation:

Given : Length of rectangle is 8 inches

Width of rectangle is 10 inches

To Find: What are the dimensions of the image at fraction [tex]\frac{1}{2}[/tex] times its current size

Solution:

Length of rectangle is 8 inches

Since we are given that the dimensions of the image at fraction [tex]\frac{1}{2}[/tex] times its current size

So, Length of image = [tex]\frac{1}{2} \times 8 = 4[/tex]

Thus the length of image is 4 inches.

Width of rectangle is 10 inches

Since we are given that the dimensions of the image at fraction [tex]\frac{1}{2}[/tex] times its current size

So, width of image = [tex]\frac{1}{2} \times 10 = 5[/tex]

Thus the width of image is 5 inches.

Hence the length and the width of image is 4 inches and 5 inches respectively.

Which of the points listed is the same distance from the y-axis as the point (−1.5, 6)?

Answers

the complete question in the attached figure

we know that
the distance from a point to line (y-axis) is the perpendicular line against y-axis, which is the absolute value of x-coordinates

in this problem
the point (−1.5, 6)
the absolute value of x-coordinates is 1.5
hence
the distance is 1.5

therefore

the answer is
the option B) the point (1.5,-3)

which transformations are needed to change the parent some function to the sine function below?

Answers

Beginning with the function y = sin x, which would have range from -1 to 1 and period of 2pi:
Vertical compression of 1/2 compresses the range from -1/2 to 1/2
Phase shift of pi/2 to the left
Horizontal stretch to a period of 4pi, as the crests are at -4pi, 0, 4pi
Vertical shift of 1 unit up moves the range to 1/2 to 3/2
So the first choice looks like a good answer.

The first choice is the answer:
Solution:the function y = sin x, which would have range from -1 to 1 and period of 2pi:
So the answer would be:Vertical compression of 1/2 compresses the range from -1/2 to 1/2Phase shift of pi/2 to the leftHorizontal stretch to a period of 4pi, as the crests are at -4pi, 0, 4piVertical shift of 1 unit up moves the range to 1/2 to 3/2

Jamie has applied for a credit card. The APR of the card is 20%. What will be the monthly interest rate?

Answers

apr means annual percentage rate and there are 12 months in a year so:

20/12 = 1.67%

Answer:

1.67%

Step-by-step explanation:

The APR of a card is the Annual Percentage Rate. This is the yearly rate of interest that a person has to pay on the money he or she borrowed. Interest is a price that is paid for borrowing money. In this case, if the APR is 20%, we would need to divide this number by the number of months in a year in order to get the monthly interest rate:

20 / 12 = 1.67 %

Use ratio to convert the measurement. 3 d = _____h

Answers

Hey there!

Here is your answer:

They proper answer to this question is "72 hours".

Reason:

By using the ratio:

[tex] \frac{3days}{hours} [/tex]

You can see that one day = 24 hours

[tex] \frac{1day}{24hours} [/tex]

Then multiply 24×3=72

[tex] \frac{3days}{72hours} [/tex]

Therefore the ratio is [tex] \frac{3days}{72hours} [/tex]!

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

What is the letter ƒ in mathematics?

Answers

The letter f usually indicates that the equation is a function in the notation f(x).

Example: f(x) = x + 1

It is a fancier/more proper replacement for the variable 'y'. The same is used for the letter g as in g(x) and h as in h(x).

OR

It could just be a regular ole variable

Example: f + 1 = 7, solve for f

The letter f usually indicates that the equation is a function in the notation f(x).

Example: f(x) = x + 1

It is a fancier/more proper replacement for the variable 'y'. The same is used for the letter g as in g(x) and h as in h(x).

It could just be a regular ole variable

Example: f + 1 = 7, solve for f

Dan is calculating the volume of two cylinders. Cylinder A has a radius of 2 feet and a height of 4 feet. Cylinder B also has a height of 4 feet, but the radius has been doubled. Which statement best describes the relationship between the volumes of the two cylinders? A) When the radius is doubled, the resulting volume is half the original volume. B) When the radius is doubled, the resulting volume is 2 times the original volume. C) When the radius is doubled, the resulting volume is 4 times the original volume. D) When the radius is doubled, the resulting volume is 8 times the original volume.

Answers

we have that
Cylinder A has a radius of 2 feet and a height of 4 feet
so
volume of the cylinder A=pi*r²*h-----> pi*2²*4-----> 16*pi ft³

Cylinder B also has a height of 4 feet, but the radius has been doubled
h=4 ft
r=2*2---> 4 ft
so
volume of the cylinder B=pi*r²*h-----> pi*4²*4-----> 64*pi ft³

volume cylinder B/volume cylinder A=64*pi/(16*pi)----> 4

therefore
the answer is the option
C) When the radius is doubled, the resulting volume is 4 times the original volume.

jose bought 8 bags of oranges.each bag weighed 12 ounces. there are 16 ounces in a pound.how many pounds of oranges did jose buy

Answers

Hello!

First you have to find the amount of ounces the oranges weigh

To find this you multiply the amount of oranges by the how much they weigh

12 * 8 = 96

Divide this by the amount of ounces is in a pound

96 / 16 = 6

The answer is 6 pounds

Hope this helps!

A cyclist rides a bicycle with a wheel radius of 0.500 m across campus. a piece of plastic on the front rim makes a clicking sound every time it passes through the fork. if the cyclist counts 320 clicks between her apartment and the cafeteria, how far has she traveled? (a) 0.50 km (b) 1.5 km (c) 1.0 km (d) 0.80 km (e) 1.8 km

Answers

we know that
circumference=2*pi*r
for r=0.50 m
circumference=2*pi*0.50-----> pi m

1 click correspond to a length of--------> pi meter
320 click---------------> x
x=320*pi-----> x=1005.31 meters-------> 1 km

the answer is
the option (c) 1.0 km

please help me answer these!!!

Answers

You don't have to look very far in either case. Both answers are "a".

1. Checking selection "a",
265 =? 35 +20*7 = 35 +140 = 175
a (7, 265) is NOT a solution

2. Checking selection "a",
18 =? 5*4 -2 = 20 -2 = 18
a (4, 18) IS a solution

Question 11 Unsaved
Find the domain, period, range, and amplitude of the cosine function.

y = -6cos4x

Answers

For this case we have the following function:
y = -6cos4x
The function is defined for all values of x, therefore, the domain is:
(-inf, inf)
The range of the function is:
For x = 0
y = -6cos (4 (0))
y = -6cos (0)
y = -6 (1)
y = -6
For x = pi / 4
y = -6cos (4 (pi / 4))
y = -6cos (pi)
y = -6 (-1)
y = 6
The range of the function is:
[-6, 6]
The amplitude of the function is:
6
Answer:
Domain: (-inf, inf)
Range: [-6, 6]
Amplitude: 6

hello can you please help me posted picture of question

Answers

Total number of numerals = 10
Total number of numerals to be used = 6
We are to find the number of different codes that can be formed and those can be found by permutations.

We have to find the permutations of 10 numerals taken 6 at a time. So we are to find 10P6.

10P6 = 151200

So, 151200 different codes can be formed.

So the answer to this question is option A

Looking at the ping-pong ball toss board below, whats the probability of landing on a gray square? (Note the board contains 5 rows of 5 squares.)

Answers

the probability of landing on a gray square = 5/25 = 1/5

answer
D. 1/5

Answer:

Option D. [tex]\frac{1}{5}[/tex] is the correct option.

Step-by-step explanation:

Total number of solution sets n(S) (sample space) = 5×5 = 25

(Since a ping-pong ball can land on any block of the toss board so total number of events which can occur will be = 25)

Now preferred events n(E) = 5

(Since number of grey squares where ping-pong ball can land are = 5)

Therefore probability of landing of ping pong ball on a grey square P(E) = [tex]\frac{n(E)}{n(S)}[/tex]

P(E) = [tex]\frac{5}{25}[/tex]

P(E) = [tex]\frac{1}{5}[/tex]

Therefore, Option D. [tex]\frac{1}{5}[/tex] will be the answer.

How would the expression x^3+8 be written using Sum of Cubes?

Answers

Given expression is:

x³ + 8

8 is the cube of 2, so we can write the above expression as sum of two cubes as:

x³ + 2³

Using the formula of sum of cubes, we can write:

x³ + 2³ = (x + 2)(x² - 2x + 4)

Thus, option B gives the correct answer

Ben runs around the track at a pace of 1 lap every 80 seconds. Sally runs on the track in the opposite direction. The two meet every 30 seconds. How long does it take Sally to run each lap around the track?

Answers

48 seconds, Consider what happens between one time that Ben and Sally meet and the next. During this period Ben runs 30 (seconds)/80 (seconds/lap) = 3/8 of a lap. So Sally runs 5/8 lap in the same time. Her speed is therefore 5/8 (laps)/ 30(seconds) which amounts to 1 (lap)/ 48 (seconds).

One aluminum can weights 1/25 pound. If your school starts a recycling drive how many cans will your school need to collect to recycle one ton?

Answers

Hello!

First you have to find how many cans make a pound

1/25 * 25 = 1

It takes 25 cans to get to 1 pound

There are 2000 pounds in a ton

Multiply the amount of cans to make a pound by the amount of pounds in a ton

25 * 2000 = 50000

The answer is 50,000 aluminum cans

Hope this helps!

What is the area of the figure?

Answers

see attached picture:

plz help ill give u brainlist plz some one help fast it is esy in just dume

Answers

There are 70 questions. The probability of getting any one of the questions right is 0.2. That's because there are five answers only one of which is correct.

If there are 5 questions and you want to pick the right one the probability is 1/5. If you don't know how to find that, let your calculator walk you to the answer.

1
÷
5
=
And it will tell you that it is 0.2.

So if you blindly (not brainly) fill in the multiple choice answer sheet, the number you will get right is
(P(0.2) * The total number of questions or
0.2 * 70 = 14
Just pure dumb luck will give you 14 correct answers.

Find the measure of the missing angle of a triangle, if two of its angles are 75 degree and 65 degree respectively. please show work

Answers

The sum of the angles in a triangle is 180°. That is ...
75° +65° +(missing angle) = 180°
(missing angle) = 180° -75° -65°
(missing angle) = 40°

hey can you please help me posted picture of question

Answers

Answer:
f⁻¹(x) = [tex] \frac{x+6}{7} [/tex]

Explanation:
To get the inverse of a function, we will follow these steps:
1- replace f(x) with y
2- swap the x and y variables
3- solve for y
replace y with f⁻¹(x)

Applying this to the given as follows:
f(x) = 7x - 6

Step 1: replace f(x) with y:
y = 7x - 6

Step 2: swap the x and y variables:
x = 7y - 6

Step 3: solve for y:
7y = x + 6
y = [tex] \frac{x+6}{7} [/tex]

Step 4: replace y with f⁻¹(x):
f⁻¹(x) = [tex] \frac{x+6}{7} [/tex]

Hope this helps :)

which best describes the meaning of the term theroem?

Answers

The wording of your question implies that there are answer choices to choose from. I would reupload with an attachment of the answer choices for the most accurate response. If not, here's a picture of the definition of a "theorem."

Other Questions

At Martina's auto shop, it takes her 15 minutes to do an oil change and 18 minutes to do a tire change. Let x be the number of oil changes she does. Let y be the number of tire changes she does. Using the values and variables given, write an inequality describing how many oil changes and tire changes Martina can do in at most 3 hours ( 180 minutes). 2O POINTS HELP ASAP1.Prehistoric people of central Asia moved to North America during the last Ice Age. Early people of the Middle East moved into northern Mesopotamia. Explain how climate and geography led to these migrations, and what they have in common. Suppose that a test is standardized (normally distributed) with a mean of 75 and a standard deviation of 11. what is the probability that an individual will have a test score greater than 80 1) Which of the following is a negative effect of urban sprawl? a. more traffic congestion b. less rural, green space around cities c. longer commutes for individuals d. all of the above2) Which of the following is a category of urban residents?a. ethnic villagers b. unmarried and childless people c. the trapped d. all of the above 3. In north america, how many people live in urban areas?a. 1 out of 4 b. 2 out of 4 c. 3 out of 4 d. 4 out of 4 Earth's axis always points toward the same direction in space. Is true or false how much interest is earned on 2,700 in one year if it is invested at 3%?a. $8.10b.$81.00c.$810.00 Use the graphs of f(x) =2/x and g(x)=1/-3-x to determine the solutions to f(x) = g(x).A) (-2, -1)B)(-2, 1)C)(2, -1) The activity of whale watching is probably maintained by a _____ schedule of reinforcement. (1 point) Sally bought a car for 35000 in 2017. If the car loses 5.5% semiannually, what will the value of the value of the car be at the end of 2025 what are 2 ways electromagnets are used Traverion wants to find the answer to the question how much money does the average college professor make? He surveys 50 professors from the university in his hometown. Which best describes whether or not the results of his survey would represent the responses from the entire propulatiob of college professors? Why did the communists' use of guerrilla tactics drain american resources and cause the united states to increase the number of troops stationed in vietnam? You receive an email from someone who claims to be a representative from your credit card company. The email asks you to click on a link to reset your password to the company's website. You should proceed with caution because the email may be a(n) _______ attempt. The chief importance of the Phoenician alphabet was thatit allowed Phoenicians to represent letters using pictures.its letters could be turned on their sides.it allowed people across the Phoenician Empire to communicate in writing.its letters were the same as those in Latin. which of the following is an example of an indefinite pronoun? A.herself B.hers C.somebody D.us How can I derive the first equation to get the second equation? a roll of one die has six possible outcomes. Use the product counting principle to determine the total number of outcomes for a toss of two die explain your response A muscle group that works with and assists the action of a prime mover is a(n) ________. a muscle group that works with and assists the action of a prime mover is a(n) ________. antagonist and fixator fixator only synergist only antagonist and synergist antagonist only Which choice is most clearly an interpretation in the Utah Valley University production of The Tempest? A contingent deferred sales charge is commonly called a ____.